Answer:
c $11,751
Step-by-step explanation:
The function that models Alicia's car is
[tex]f(x) = 21000(0.93)^{x} [/tex]
where x represents the number of years since she purchased the car.
We want to find the value of Alicia's car after 8 years.
We substitute x=8 into the formula to get:
[tex]f(8) = 21000(0.93)^{8} [/tex]
[tex]f(8) = 21000(0.5596)[/tex]
[tex]f(8) = 11751.218[/tex]
We round to the nearest dollar to get:
[tex]f(8) =11751[/tex]
The correct answer is C.